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Finding the Fourth Proportional to 12,185.84, 16,816.92 and 6,881.24

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Solution

The fourth proportional to 12,185.84, 16,816.92 and 6,881.24 is: 9,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.84 : 16,816.92 = 6,881.24 : x
  2. Step 2: Convert to fraction form
    12,185.84/16,816.92 = 6,881.24/x
  3. Step 3: Cross multiply
    12,185.84x = 16,816.92 × 6,881.24
  4. Step 4: Simplify right side
    12,185.84x = 115,721,262.58
  5. Step 5: Solve for x
    x = 115,721,262.58/12,185.84
  6. Step 6: Final answer
    x = 9,496.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.